# Spectral Theory of Random Fields (Translations Series in Mathematics and Engineering) download epub

#### by **M.I. Yadrenko**

**Epub Book:**1206 kb. |

**Fb2 Book:**1212 kb.

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The aim of the book is to introduce basic concepts, main results, and widely applied mathematical tools in the spectral analysis of large dimensional random matrices. The core of the book focuses on results established under moment conditions on random variables using probabilistic methods, and is thus easily applicable to statistics and other areas of science

Spectral theory of random fields. Translation Series in Mathematics and Engineering. This book contains a novel theory of random fields estimation of Wiener type, developed originally by the author and presented here.

Spectral theory of random fields. Optimization Software, Publications Division. No assumption about the Gaussian or Markovian nature of the fields are made. The theory, constructed entirely within the framework of covariance theory, is based on a detailed analytical study of a new class of multidimensional integral equations basic in estimation theory. This book is suitable for graduate courses in random fields estimation.

Read by Mikhail Iosifovich Yadrenko.

stochastic process in multi-dimensional time, stochastic process with a multi-dimensional parameter. A random function defined on a set of points in a multi-dimensional space. Random fields are an important example of random functions (cf. Random element), which are often encountered in various applications.

Yadrenko developed the spectral theory of homogeneous and isotropic random fields in Euclidean . In 1995, for the first time in Ukraine, Yadrenko began to deliver lectures on actuarial mathematics and the theory of insurance risk. Together with his disciples M. M. Leonenko, Yu.

Yadrenko developed the spectral theory of homogeneous and isotropic random fields in Euclidean, Hilbert, and Lobachevskii spaces. These results were used by Yadrenko and his disciples for the solution of important problems of linear prediction and filtration of random fields. He founded the theory of Markov random fields, which represented a new direction in the theory of random fields.

Topics in Random Matrix Theory (Graduate Studies in Mathematics). The aim of the book is to introduce basic concepts, main results, and widely applied mathematical tools in the spectral analysis of large dimensional random matrices. Terence Tao. Hardcover. A Dynamical Approach to Random Matrix Theory (Courant Lecture Notes) (Courant Lecture Notes inn Mathematics). The core of the book focuses on results established under moment conditions on random variables using probabilistic methods, and is thus easily applicable to statistics and other areas of science.

mathematics and statistics online On the sharp Markov property for Gaussian random fields and spectral synthesis i. .

mathematics and statistics online. Texture synthesis and nonparametric resampling of random fields Levina, Elizaveta and Bickel, Peter . The Annals of Statistics, 2006. On the sharp Markov property for Gaussian random fields and spectral synthesis in spaces of Bessel potentials Pitt, Loren D. and Robeva, Raina . The Annals of Probability, 2003. Spherical spectral synthesis and two-radius theorems on Damek–Ricci spaces Peyerimhoff, Norbert and Samiou, Evangelia, Arkiv för Matematik, 2010.

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Volumes in this series consist of articles originally published in books and journals in Russia or Japan. This series includes Advances in Soviet Mathematics titles published since 1995. ISSN 0065-9290) Hardcover; reprints in softcover. Discrete Mathematics and Combinatorics Math Education Geometry and Topology Algebra and Algebraic Geometry Probability and Statistics Differential Equations Number Theory Mathematical Physics General Interest Applications Logic and Foundations Analysis.

**Author:**M.I. Yadrenko

**ISBN:**0387908234

**Category:**Science & Math

**Subcategory:**Mathematics

**Language:**English

**Publisher:**Springer; 1983 edition (April 11, 1983)

**Pages:**259 pages